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Alice, Beth, Clan, Dino and Eric decide to buy a drum set by pooling i
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19 Apr 2023, 08:13
19 Apr 2023, 08:13
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Alice, Beth, Clan, Dino and Eric decide to buy a drum set by pooling in money equally. However, Alice and Beth were short on cash so they decided that they would pay their total share later and the cost would be divided equally between the remaining members. If the cost of the drum set is $180, how much did Dino currently paid more than he would have paid, had all of them contributed?
$12
$20
$24
$36
$40
$12
$20
$24
$36
$40
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Re: Alice, Beth, Clan, Dino and Eric decide to buy a drum set by pooling i
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22 Apr 2023, 00:37
22 Apr 2023, 00:37
Expert Reply
The cost of the drum set is $180, and Alice and Beth will pay later. So, the cost will be divided equally among the remaining 3 members: Clan, Dino, and Eric.
Each of the 5 members would have paid $36 ($180 divided by 5) if everyone had contributed equally.
Since Alice and Beth did not contribute anything initially, the remaining three members had to pay an additional amount equal to what Alice and Beth would have paid. The additional amount each of the remaining three members had to pay is:
(Alice's share + Beth's share) ÷ 3 = ($36 + $36) ÷ 3 = $24
So, Dino had to pay $24 more than he would have paid if everyone had contributed equally. Therefore, the answer is option (C) $24.
Each of the 5 members would have paid $36 ($180 divided by 5) if everyone had contributed equally.
Since Alice and Beth did not contribute anything initially, the remaining three members had to pay an additional amount equal to what Alice and Beth would have paid. The additional amount each of the remaining three members had to pay is:
(Alice's share + Beth's share) ÷ 3 = ($36 + $36) ÷ 3 = $24
So, Dino had to pay $24 more than he would have paid if everyone had contributed equally. Therefore, the answer is option (C) $24.
gmatclubot
Re: Alice, Beth, Clan, Dino and Eric decide to buy a drum set by pooling i [#permalink]
22 Apr 2023, 00:37
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